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Simplifying -2n + 6 + 4n = 7n + -8n + -9 Reorder the terms: 6 + -2n + 4n = 7n + -8n + -9 Combine like terms: -2n + 4n = 2n 6 + 2n = 7n + -8n + -9 Reorder the terms: 6 + 2n = -9 + 7n + -8n Combine like terms: 7n + -8n = -1n 6 + 2n = -9 + -1n Solving 6 + 2n = -9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 6 + 2n + n = -9 + -1n + n Combine like terms: 2n + n = 3n 6 + 3n = -9 + -1n + n Combine like terms: -1n + n = 0 6 + 3n = -9 + 0 6 + 3n = -9 Add '-6' to each side of the equation. 6 + -6 + 3n = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = -9 + -6 3n = -9 + -6 Combine like terms: -9 + -6 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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